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<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   <a href="scmring1.html#V1" title="SCMRING1:attr.1">good</a>  <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">dl</font> being   <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c1">R</font>  ex <font color="Olive" title="b2">i</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  st <font color="Olive" title="b1">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Olive" title="b2">i</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">dl</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c1">R</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">i</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  st <font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Olive" title="b1">i</font></span><br/>



<a NAME="E1:6"/>
<font color="Maroon" title="c2">dl</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmring2.html#T1" title="SCMRING2:th.1">SCMRING2:1</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c3">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a> <span class="kw"> such that </span><br/><a NAME="E3:6"/><span class="lab"><font color="Green" title="E4">A1</font></span>: 
<font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">1,<font color="Maroon" title="c3">i</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_2.html#T32" title="AMI_2:th.32">AMI_2:32</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c3">i</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c3">i</font></span><br/>

<span class="kw">thus </span><a NAME="E4:6"/>
<font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c3">i</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:6"><span class="lab"><font color="Green" title="E4">A1</font></span></a>, <a class="ref" href="scmring4.html#T3" target="_self" title="SCMRING4:th.3">Th3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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